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Finding the Third Proportional to 4,523.25 and 9,820.03

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Solution

The third proportional to 4,523.25 and 9,820.03 is: 21,319.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,523.25 : 9,820.03 = 9,820.03 : x
  2. Step 2: Convert to fraction form
    4,523.25/9,820.03 = 9,820.03/x
  3. Step 3: Cross multiply
    4,523.25x = 9,820.03 × 9,820.03
  4. Step 4: Simplify right side
    4,523.25x = 96,433,013.75
  5. Step 5: Solve for x
    x = 96,433,013.75/4,523.25
  6. Step 6: Final answer
    x = 21,319.41

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.